On divergent 3-vertices in noncommutative SU (2) gauge theory

2004/10/08 by Maja Buric, Maja Burić, Voja Radovanović +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Fermion #Gauge (firearms) #Gauge theory #Massless particle #Mathematical physics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum field theory #Renormalization #Theoretical physics #hep-th

paper · pdf · doi:10.1088/0264-9381/22/3/005

published as Class.Quant.Grav. 22 (2005) 525-532 · 7 pages

arxiv created 2004/10/08 · openalex publication_date 2005/01/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We analyse divergences in 2-point and 3-point functions for noncommutative θ-expanded SU (2)-gauge theory with massless fermions. We refine our previous argument on renormalizability of 3-vertices by explicit SW construction. We show that, after the field redefinition and renormalization of couplings, divergent terms remain.

Citations

• String theory and noncommutative geometry
• Construction of non-Abelian gauge theories on noncommutative spaces
• Consistent non-commutative quantum gauge theories?
• Gauge theory on noncommutative spaces

Cited by

• Probing the noncommutative standard model at hadron colliders
• Renormalizability of noncommutativeSU(N) gauge theory